Find the hypotenuse of an isosceles right triangle if the length of each leg =4

Answer 1

Since we know the triangle is RIGHT we can use the Pythagorean Theorem to find the missing side. Since we know it's ISOSCELES we know two sides are 4, so a = 4, b = 4, and c = ?

a²+b²=c²

4²⁺4²=c²

16 + 16 =c²

32= c²

sqrt(32) = c

sqrt(16*2) = c

sqrt(16) * sqrt(2) = c

4*sqrt(2) = c

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